Cauchy's Cours d'analyse : an annotated translation / Robert E. Bradley, C. Edward Sandifer.

Translated from the French.

Includes bibliographical references (p. 403-405) and index.

On real functions -- On infinitely small and infinitely large quantities, and on the continuity of functions. Singular values of functions in various particular cases -- On symmetric functions and alternating functions. The use of these functions for the solution of equations of the first degree in any number of unknowns. On homogeneous functions -- Determination of integer functions, when a certain number of particular values are known. Applications -- Determination of continuous functions of a single variable that satisfy certain conditions -- On convergent and divergent series. Rules for the convergence of series. The summation of several convergent series -- On imaginary expressions and their moduli -- On imaginary functions and variables -- On convergent and divergent imaginary series. Summation of some convergent imaginary series. Notations used to represent imaginary functions that we find by evaluating the sum of such series -- On real or imaginary roots of algebraic equations for which the left-hand side is a rational and integer function of one variable. The solution of equations of this kind by algebra or trigonometry -- Decomposition of rational fractions -- On recurrent series.

Translated from the French.